Question : Directions: The weights of 4 boxes are 30, 20, 60 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination a box can be used only once?
Option 1: 180
Option 2: 170
Option 3: 120
Option 4: 150
Correct Answer: 170
Solution :
Given:
The weights of 4 boxes are 30, 20, 60 and 70 kilograms.
The total weight of all possible combinations of boxes is as follows –
30 + 20 = 50; 30 + 60 = 90; 30 + 70 = 100; 20 + 60 = 80;
20 + 70 = 90; 60 + 70 = 130; 30 + 20 + 60 = 110;
30 + 60 + 70 = 160; 30 + 20 + 70 = 120; 20 + 60 + 70 = 150;
20 + 60 + 70 + 30 = 180
Therefore, there is no total weight of 170 kilograms in any combination. Hence, the second option is correct.
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